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Finding the Fourth Proportional to 725.55, 1,089.39 and 293.55

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Solution

The fourth proportional to 725.55, 1,089.39 and 293.55 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.55 : 1,089.39 = 293.55 : x
  2. Step 2: Convert to fraction form
    725.55/1,089.39 = 293.55/x
  3. Step 3: Cross multiply
    725.55x = 1,089.39 × 293.55
  4. Step 4: Simplify right side
    725.55x = 319,790.43
  5. Step 5: Solve for x
    x = 319,790.43/725.55
  6. Step 6: Final answer
    x = 440.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.